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Comparison of levels of theory for C-Ge


Click on an entry for a histogram of the values.
The subscript refers to how many bonds of that type have been calculated.
average calculated bond lengths (Å)
Methods with predefined basis sets
semi-empirical AM1 1.9736
1
PM3 1.7967
2
PM6 1.7256
3
composite G2 1.8363
3
G3 1.8469
3
G3B3 1.8328
3
G4 1.8263
3
CBS-Q 1.8328
3

average calculated bond lengths (Å)
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.6777
3
1.8680
3
1.8706
3
1.8563
3
1.8316
2
1.8425
3
1.8298
3
1.8481
3
1.8485
3
1.8401
3
1.8698
1
1.7967
2
1.8531
3
1.8493
3
1.8469
3
1.8554
3
1.8495
3
1.8470
3
1.8809
1
1.8496
3
ROHF   1.8026
1
1.7906
1
1.7882
1
1.7698
1
1.7698
1
1.7604
1
1.7689
1
1.7689
1
  1.7689
1
1.7734
1
1.7731
1
1.7704
1
1.7683
1
1.7769
1
1.7712
1
1.7686
1
1.7768
1
1.7711
1
density functional LSDA 1.6104
3
1.8832
2
1.8280
3
1.8115
3
1.8042
3
1.8042
3
1.7909
3
1.8064
3
1.8068
3
1.8025
3
  1.7455
2
1.8143
3
1.8052
3
  1.8146
3
1.8050
3
     
BLYP 1.6419
3
1.8497
3
1.8695
3
1.8521
3
1.9134
3
1.8427
3
1.8298
3
1.8487
3
1.8490
3
1.8413
3
1.8213
1
1.7829
2
1.8559
3
1.8478
3
  1.8347
1
1.8241
1
  1.8344
1
1.8240
1
B1B95 1.6447
3
1.8233
1
1.8397
3
1.8249
3
1.8146
3
1.8146
3
1.8018
3
1.8184
3
1.8188
3
1.8129
3
1.7934
1
1.7552
2
1.8233
3
1.8178
3
  1.8246
3
1.8172
3
  1.8029
1
1.7954
1
B3LYP 1.6412
3
1.8389
3
1.8523
3
1.8371
3
1.8270
3
1.8269
3
1.8145
3
1.8312
3
1.8316
3
1.8253
3
1.8021
1
1.7662
2
1.8376
3
1.8307
3
1.8284
3
1.8387
3
1.8309
3
1.8282
3
  1.8046
1
B3LYPultrafine   1.8298
1
    1.8270
3
1.8053
1
1.7932
1
1.8050
1
  1.8029
1
1.8021
1
1.8092
1
1.8128
1
1.8043
1
  1.8140
1
1.8307
3
  1.8138
1
1.8046
1
B3PW91 1.6437
3
1.8355
3
1.8466
3
1.8296
3
1.8196
3
1.8194
3
1.8065
3
1.8230
3
1.8235
3
1.8177
3
1.7965
1
1.7588
2
1.8289
3
1.8224
3
  1.8070
1
1.8770
2
  1.8069
1
1.7981
1
mPW1PW91 1.6444
3
1.8340
3
1.8437
3
1.8271
3
1.8167
3
1.8165
3
1.8038
3
1.8198
3
1.8203
3
1.8146
3
1.7934
1
1.7560
2
1.8253
3
1.8193
3
  1.8265
3
1.8194
3
  1.8038
1
1.7957
1
M06-2X 1.6522
3
1.8372
3
1.8471
3
1.8382
3
1.8264
3
1.8264
3
1.8137
3
1.8331
3
1.8338
3
1.8270
3
1.8324
3
1.7710
2
1.8367
3
1.8350
3
  1.8388
3
1.8349
3
  1.8233
1
1.8148
1
PBEPBE 1.6398
3
1.8429
3
1.8587
3
1.8392
3
1.8299
3
1.8298
3
1.8170
3
1.8347
3
1.8352
3
1.8281
3
1.8102
1
1.7711
2
1.8409
3
1.8341
3
  1.8418
3
1.8342
3
  1.8216
1
1.8126
1
PBEPBEultrafine   1.8384
1
    1.8129
1
1.8129
1
1.7998
1
1.8133
1
  1.8105
1
1.8102
1
1.8173
1
1.8209
1
1.8124
1
  1.8218
1
1.8127
1
  1.8216
1
1.8126
1
PBE1PBE 1.5291
2
1.8272
1
1.7800
2
1.7683
2
1.7554
2
1.7554
2
1.7436
2
1.7530
2
1.7530
2
1.7519
2
1.7935
1
1.7563
2
1.7595
2
1.7527
2
  1.7610
2
1.7530
2
  1.8037
1
1.7960
1
HSEh1PBE 1.6421
3
1.8336
3
1.8441
3
1.8276
3
1.8173
3
1.8171
3
1.8045
3
1.8204
3
1.8208
3
1.8151
3
1.7942
1
1.7571
2
1.8260
3
1.8202
3
  1.8273
3
1.8203
3
  1.8047
1
1.7968
1
TPSSh 1.4736
1
1.8323
1
1.8335
1
1.8207
1
1.8181
3
1.8022
1
1.8036
3
1.8020
1
1.8020
1
1.8166
3
1.7988
1
1.8048
1
1.8086
1
1.8229
3
1.7977
1
1.8098
1
1.8003
1
1.7976
1
1.8097
1
1.8003
1
wB97X-D 1.4705
1
1.8234
1
1.8383
3
1.8140
1
1.8100
3
1.7955
1
1.7961
3
1.7941
1
1.8160
3
1.7940
1
1.7915
1
1.8192
3
1.8021
3
1.8159
3
1.7917
1
1.8023
1
1.8162
3
1.7916
1
1.8021
1
1.7944
1
B97D3 1.5059
1
1.9084
2
1.8472
1
1.8362
1
1.8870
2
1.8165
1
1.8711
2
1.8176
1
1.8958
2
1.8145
1
1.8926
2
1.8998
2
1.8250
1
1.8937
2
1.8132
1
1.8264
1
1.8943
2
1.8129
1
1.8263
1
1.8943
2
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.7183
3
1.8799
3
1.8741
3
1.8723
3
1.8435
3
1.8442
3
1.8290
3
1.8485
3
1.8478
3
1.8390
3
1.8117
1
1.7777
2
1.8486
3
1.8668
2
1.7769
1
1.8502
3
1.8617
2
1.7713
1
1.8251
1
1.7900
1
MP2=FULL 1.7161
3
1.8788
3
1.8727
3
1.8679
3
1.8354
3
1.8346
3
1.8192
3
1.8325
3
1.8321
3
1.8146
3
1.7891
1
1.7777
2
1.8463
3
1.8546
2
1.7580
1
1.8460
3
1.8427
2
1.7454
1
1.8210
1
1.7697
1
ROMP2 1.8074
1
1.8329
1
1.8329
1
1.8269
1
1.8119
1
1.8119
1
1.8021
1
1.8129
1
1.8129
1
1.8087
1
1.8105
1
1.8037
1
1.8154
1
1.7991
1
  1.8198
1
    1.8195
1
1.7978
1
MP3         1.8885
2
  1.8062
3
                         
MP3=FULL         1.7997
3
  1.7852
3
                         
MP4   1.8794
3
    1.8494
3
      1.8533
3
        1.8312
3
           
B2PLYP 1.7105
1
1.8207
1
1.8162
1
1.8130
1
1.8699
2
1.7908
1
1.7795
1
1.7891
1
1.7891
1
1.8675
2
1.7855
1
1.7880
1
1.7936
1
1.8414
2
  1.7956
1
1.9538
1
  1.7953
1
1.7819
1
B2PLYP=FULL 1.4944
1
1.8199
1
1.8155
1
1.8110
1
1.7877
1
1.7877
1
1.7765
1
1.7842
1
1.7842
1
1.7807
1
1.7799
1
1.7878
1
1.7936
1
1.7798
1
  1.7947
1
1.7783
1
  1.7944
1
1.7777
1
B2PLYP=FULLultrafine 1.4944
1
1.8199
1
1.8155
1
1.8110
1
1.8408
3
1.7877
1
1.7765
1
1.7842
1
1.7842
1
1.7807
1
1.7799
1
1.7878
1
1.8503
3
1.8374
3
  1.7947
1
1.8358
3
  1.7944
1
1.7777
1
Configuration interaction CID   1.8696
3
1.8669
3
1.8623
3
1.8392
3
    1.8427
3
    1.8256
1
  1.8402
1
1.8158
1
        1.8426
1
1.8125
1
CISD   1.8624
3
1.8635
3
1.8549
3
1.8358
3
    1.8391
3
    1.8178
1
  1.8308
1
1.8098
1
        1.8333
1
1.8070
1
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.8663
3
1.8685
3
1.8597
3
1.8400
3
1.8389
3
1.8262
3
1.8428
3
1.8425
3
1.8342
3
1.8153
1
1.7718
2
1.8451
3
1.8234
3
  1.8473
3
1.8216
3
  1.8292
1
1.8018
1
QCISD(T)         1.8442
3
    1.8248
1
    1.8181
1
1.7764
2
1.8501
3
1.8290
3
  1.7939
2
1.7686
2
  1.8315
1
1.8048
1
QCISD(T)=FULL         1.8169
1
  1.8033
1
      1.8033
1
  1.8274
1
1.7981
1
1.7818
1
  1.7922
1
1.7749
1
1.8285
1
1.7900
1
Coupled Cluster CCD   1.8749
3
1.8726
3
1.8681
3
1.8445
3
1.8434
3
1.8291
3
1.8474
3
1.8472
3
1.8378
3
1.8207
1
1.7788
2
1.8506
3
1.8280
3
  1.8531
3
1.8262
3
  1.8376
1
1.8049
1
CCSD         1.8499
2
1.8203
1
1.8074
1
1.8212
1
1.8212
1
1.8830
2
1.8143
1
1.8130
1
1.8551
2
1.8339
2
1.7914
1
1.8283
1
1.8713
2
1.7878
1
1.8280
1
1.8012
1
CCSD=FULL         1.8806
2
        1.8615
2
1.8006
1
1.8139
1
1.8241
1
1.8631
2
1.7780
1
1.8259
1
1.8564
2
1.7700
1
1.8252
1
1.7861
1
CCSD(T)         1.8546
2
1.8241
1
1.8115
1
1.8248
1
1.8248
1
1.8177
1
1.8183
1
1.7388
1
1.8612
2
1.8406
2
1.8323
2
1.8635
2
1.8391
2
1.7187
1
1.8317
1
1.8052
1
CCSD(T)=FULL         1.8364
3
          1.8037
1
1.7781
2
1.8486
3
1.8206
3
1.7461
2
1.8495
3
1.7198
1
1.7376
2
1.8286
1
1.7901
1
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF 1.8651
3
  1.8676
3
  1.8728
3
1.8898
3
1.8697
1
  1.8460
3
ROHF             1.7665
1
  1.7703
1
density functional LSDA             1.7867
1
   
BLYP             1.8244
1
  1.8234
1
B1B95             1.7944
1
  1.7951
1
B3LYP 1.8497
3
  1.8504
3
  1.8534
3
1.8668
3
1.8035
1
  1.8289
3
B3LYPultrafine             1.8035
1
  1.8041
1
B3PW91             1.7974
1
  1.7979
1
mPW1PW91             1.7940
1
  1.7954
1
M06-2X             1.8158
1
  1.8131
1
PBEPBE             1.8121
1
  1.8898
2
PBEPBEultrafine             1.8121
1
  1.8123
1
PBE1PBE             1.7941
1
  1.7957
1
HSEh1PBE             1.7951
1
  1.7966
1
TPSSh             1.7994
1
  1.7999
1
wB97X-D 1.8294
1
  1.8295
1
  1.8401
1
1.8497
1
1.7930
1
  1.7946
1
B97D3             1.8169
1
  1.8160
1
Moller Plesset perturbation MP2 1.8853
3
  1.8856
3
  1.8934
3
1.9099
3
1.7900
1
  1.8268
3
MP2=FULL             1.7796
1
  1.7938
1
ROMP2             1.7950
1
  1.7996
1
MP3             1.8016
1
   
MP3=FULL             1.7919
1
   
MP4             1.7915
1
   
MP4=FULL             1.7801
1
   
B2PLYP             1.7795
1
  1.7822
1
B2PLYP=FULL             1.7773
1
  1.7820
1
B2PLYP=FULLultrafine             1.7773
1
  1.7820
1
Configuration interaction CID             1.8116
1
  1.8179
1
CISD             1.8053
1
  1.8124
1
Quadratic configuration interaction QCISD             1.8003
1
  1.8053
1
QCISD(T)             1.8017
1
  1.8075
1
QCISD(T)=FULL             1.7938
1
  1.8076
1
Coupled Cluster CCD             1.8041
1
  1.8101
1
CCSD             1.7990
1
  1.8045
1
CCSD=FULL             1.7911
1
  1.8042
1
CCSD(T)             1.8021
1
  1.8086
1
CCSD(T)=FULL             1.7941
1
  1.8075
1
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.